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Finding the Fourth Proportional to 11,954.74, 17,932.20 and 4,163.53

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Solution

The fourth proportional to 11,954.74, 17,932.20 and 4,163.53 is: 6,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.74 : 17,932.20 = 4,163.53 : x
  2. Step 2: Convert to fraction form
    11,954.74/17,932.20 = 4,163.53/x
  3. Step 3: Cross multiply
    11,954.74x = 17,932.20 × 4,163.53
  4. Step 4: Simplify right side
    11,954.74x = 74,661,252.67
  5. Step 5: Solve for x
    x = 74,661,252.67/11,954.74
  6. Step 6: Final answer
    x = 6,245.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.